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Vector (or Cross) Product of 2 vectors Video Lecture | Mathematics (Maths) Class 12 - JEE

205 videos|264 docs|139 tests

FAQs on Vector (or Cross) Product of 2 vectors Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is the definition of the cross product of two vectors?
Ans. The cross product of two vectors is a vector that is perpendicular to both the given vectors and has a magnitude equal to the product of the magnitudes of the vectors multiplied by the sine of the angle between them.
2. How is the cross product of two vectors calculated?
Ans. The cross product of two vectors is calculated using the formula: A × B = |A| |B| sin(θ) n, where A and B are the given vectors, |A| and |B| are the magnitudes of the vectors, θ is the angle between them, and n is the unit vector perpendicular to both A and B.
3. What is the significance of the cross product in physics and engineering?
Ans. The cross product has various applications in physics and engineering. It is used to calculate torque, magnetic fields, angular momentum, and the direction of rotation in rigid bodies. It is also used in electromagnetism, fluid dynamics, and computer graphics.
4. How can the direction of the cross product be determined?
Ans. The direction of the cross product can be determined using the right-hand rule. If you curl the fingers of your right hand from the first vector towards the second vector, then the direction in which your thumb points will be the direction of the cross product vector.
5. Is the cross product commutative?
Ans. No, the cross product is not commutative. In other words, A × B is not equal to B × A. The order of the vectors matters in the cross product calculation, and the resulting vector will have a different magnitude and direction if the order is changed.
205 videos|264 docs|139 tests
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